A particle is dropped from a height H. The de-Broglie wavelength of the particle as a function of height is proportional to  (a) H  (b) H^1/2 (c) H⁰   (d) H^-1/2

<p><strong>Explanation-&nbsp;</strong>velocity of a freely falling body is v=<span contenteditable="false">&nbsp;<math><mroot><mrow><mrow><mn>2</mn><mi>g</mi><mi>h</mi></mrow></mrow><mrow></mrow></mroot></math></span></p><p>And<span contenteditable="false">&nbsp;<math><mi>? </mi><mo>=</mo><mfrac><mrow><mrow><mi>h</mi></mrow></mrow><mrow><mrow><mi>m</mi><mi>v</mi></mrow></mrow></mfrac><mo>=</mo><mfrac><mrow><mrow><mi>h</mi></mrow></mrow><mrow><mrow><mi>m</mi><mroot><mrow><mrow><mn>2</mn><mi>g</mi><mi>h</mi></mrow></mrow><mrow></mrow></mroot></mrow></mrow></mfrac></math></span></p><p><span contenteditable="false"><math><mi>? </mi><mo>=</mo><mi>h</mi></math>&nbsp;</span>^-1</p>

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